We study here optimized Schwarz domain decomposition methods for solving the time-harmonic Maxwell equations discretized by a discontinuous Galerkin (DG) method. Due to the particularity of the latter, a discretization of a more sophisticated Schwarz method is not straightforward. A strategy of discretization is shown in the framework of a DG weak formulation, and the equivalence between multi-domain and single-domain solutions is proved. The proposed discrete framework is then illustrated by some numerical results through the simulation of two-dimensional propagation problems.
|Name||Lecture Notes in Computational Science and Engineering|
|Conference||21st International Conference on Domain Decomposition Methods in Science and Engineering, DD 2014|
|Period||25/06/12 → 29/06/12|
- Schwarz methods
- Maxwell equations